Day 72 - Differential Equations - 12.04.14

Updates
  • Unit 5 Test on Friday!
    Bell Ringer
    • Unit 5 Problems

    1. Verify that the following has an inverse: . If it exists, find the derivative of the inverse at x = -1.

      1. No inverse exists.

      2. 1

      3. 0

      4. -1

      5. none of the above

    2. If , then find f’(x).

      5. none of the above
    Lesson Objective(s)
    • How are differential equations solved using integration and separation of variables?

    In-Class Help Requests

    Standard(s)

    • APC.9

      • Apply formulas to find derivatives.

        • Includes:

          • derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions

          • derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions

          • derivatives of implicitly defined functions

          • higher order derivatives of algebraic, trigonometric, exponential, and logarithmic, functions

    Math    ematical Practice(s)
    • #1 - Make sense of problems and persevere in solving them
    • #2 - Reason abstractly and quantitatively
    • #5 - Use appropriate tools strategically
    • #6 - Attend to precision
    • #8 - Look for and express regularity in repeated reasoning
    Past Checkpoints
    • Differentiation of the Natural Logarithmic Function
    • Integration with the Natural Logarithmic Function
    • Exponential Functions: Differentiation and Integration
    • Bases Other Than e: Differentiation and Integration
    • Inverse Functions